On 27 Oct 2000, Dr. S. Shapiro wrote:

>      I have quantified experimentally the activity ("X") of a
> half-dozen different products (A-F).  These 6 commercial
> products all contain the same "active ingredient" over a
> range of different concentrations (and a couple of products
> share the same "active ingredient" concentration).  The
> problem arises from the fact that these 6 commercial
> preparations each contain different additives that may
> possibly impact on the observed activity, and no two
> products contain identical sets of additives. 
> Under these circumstances, is there a statistical procedure 
> that wouldenable me to distinguish the effect of the 
> "active ingredient" per se from the mitigating effects 
> (either positive or negative) of the additives? 

Under the conditions you describe, the short answer is "No".

> At first I thought of doing a simple oneway ANOVA of the 6 
> products side-by-side, but then thought that this might 
> not be able to distinguish between the effects of the 
> "active ingredient" per se from that of the "active 
> ingredient + additives". 

That is correct.  Unless you have _products_ that have the 
active ingredient without additives, and other products that 
have the active ingredient + additives, you have no way to 
distinguish between these effects.

> Any further suggestions would be most welcome.  
> I have access to two statistics software packages: 
> MINITAB 11.21 (preferred) and Excel 97, but may be 
> able to find other packages if I hunt around long enough.

Any statistics you need to do can be done in Minitab.  But software 
doesn't matter:  the logical problem, at least as I understand you 
to have described it, is intractable.
                                        -- DFB.
 ----------------------------------------------------------------------
 Donald F. Burrill                                    [EMAIL PROTECTED]
 348 Hyde Hall, Plymouth State College,      [EMAIL PROTECTED]
 MSC #29, Plymouth, NH 03264                             (603) 535-2597
 Department of Mathematics, Boston University                [EMAIL PROTECTED]
 111 Cummington Street, room 261, Boston, MA 02215       (617) 353-5288
 184 Nashua Road, Bedford, NH 03110                      (603) 471-7128



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